# Multistability in planar liquid crystal wells.

@article{Luo2012MultistabilityIP, title={Multistability in planar liquid crystal wells.}, author={Chong Luo and Apala Majumdar and Radek Erban}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2012}, volume={85 6 Pt 1}, pages={ 061702 } }

A planar bistable liquid crystal device, reported in Tsakonas et al. [Appl. Phys. Lett. 90, 111913 (2007)], is modeled within the Landau-de Gennes theory for nematic liquid crystals. This planar device consists of an array of square micrometer-sized wells. We obtain six different classes of equilibrium profiles and these profiles are classified as diagonal or rotated solutions. In the strong anchoring case, we propose a Dirichlet boundary condition that mimics the experimentally imposed tangent…

## Figures and Tables from this paper

## 59 Citations

Free energy pathways of a multistable liquid crystal device.

- PhysicsSoft matter
- 2015

This work systematically compute a special class of transition pathways, referred to as minimum energy pathways, between the stable equilibria that provide new information about how theEquilibria are connected in the Landau-de Gennes free energy landscape.

Elastic anisotropy of nematic liquid crystals in the two-dimensional Landau-de Gennes model

- Physics
- 2021

We study the effects of elastic anisotropy on the Landau-de Gennes critical points for nematic liquid crystals, in a square domain. The elastic anisotropy is captured by a parameter, L2, and the…

Nematic liquid crystals in a rectangular confinement: solution landscape and bifurcation

- Mathematics
- 2021

Abstract. We study the solution landscape and bifurcation diagrams of nematic liquid crystals confined on a rectangle, using a reduced two-dimensional Landau–de Gennes framework in terms of two…

Colloidal liquid crystals in rectangular confinement: theory and experiment.

- Materials ScienceSoft matter
- 2014

These simulations suggest the existence of higher-energy metastable states with internal defects, and combine analytical expressions with experimentally recorded frequencies of the different equilibrium states to obtain explicit estimates for the extrapolation length of the fd-virus.

Nematic liquid crystal director structures in rectangular regions.

- MathematicsPhysical review. E
- 2018

By considering weak anchoring instead of infinitely strong anchoring, this work is able to analyze nematic equilibria in the well without the need to exclude point defects at the corners, as done in previous work in the area.

Order reconstruction patterns in nematic liquid crystal wells

- PhysicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2014

We numerically study structural transitions inside shallow sub-micrometre scale wells with square cross section, filled with nematic liquid crystal material. We model the wells within the Landau–de…

Elastic anisotropy in the reduced Landau–de Gennes model

- MathematicsProceedings of the Royal Society A
- 2022

We study the effects of elastic anisotropy on Landau–de Gennes critical points, for nematic liquid crystals, on a square domain. The elastic anisotropy is captured by a parameter, L2, and the…

Domain growth in ferronematics: slaved coarsening, emergent morphologies and growth laws.

- Materials ScienceSoft matter
- 2021

This is the first study of non-equilibrium phenomena in FNs, where a disordered Q (or M) field is driven to coarsen by an ordered M (or Q) field in this coupled system.

Surface, size and topological effects for some nematic equilibria on rectangular domains

- Mathematics
- 2020

We study nematic equilibria on rectangular domains, in a reduced two-dimensional Landau–de Gennes framework. These reduced equilibria carry over to the three-dimensional framework at a special…

Tailored morphologies in two-dimensional ferronematic wells.

- Materials SciencePhysical review. E
- 2020

This work numerically obtain the stable nematic and associated magnetization morphologies, induced purely by the geometry, the boundary conditions, and the coupling between the magnetic nanoparticles and the host nematic medium.

## References

SHOWING 1-10 OF 45 REFERENCES

Topology and bistability in liquid crystal devices.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

This work describes the liquid crystal configuration by a unit-vector field n, in a model version of the PABN cell, and identifies four distinct topologies in this geometry which are used as initial conditions for a numerical solver, based on the finite-element method.

The Landau-de Gennes theory of nematic liquid crystals:Uniaxiality versus Biaxiality

- Physics
- 2011

We study small energy solutions within the Landau-de Gennes theory for nematic liquid crystals, subject to Dirichlet boundary conditions. We consider two-dimensional and threedimensional domains…

Flexoelectric switching in a bistable nematic device.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

It is found that a window of possible field strengths exists within which switching occurs in a bistable nematic liquid crystal device and that at high field strengths the dielectric interaction with the applied field will dominate the flexoelectric effect and may hinder switching.

Zenithal bistable device: Comparison of modeling and experiment.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

A comparative modeling and experimental study of the zenithal bistable liquid crystal device gives a clear insight into the latching mechanism dynamics and enables the dependence of the device latching on both material parameters and surface shape to be determined.

Controllable alignment of nematic liquid crystals around microscopic posts: Stabilization of multiple states

- Physics
- 2002

Nematic liquid crystal materials are rod-like molecules that align in a locally common direction called the director. This gives rise to anisotropic properties that are used in electro-optical…

Landau–De Gennes Theory of Nematic Liquid Crystals: the Oseen–Frank Limit and Beyond

- Mathematics
- 2008

We study global minimizers of a continuum Landau–De Gennes energy functional for nematic liquid crystals, in three-dimensional domains, subject to uniaxial boundary conditions. We analyze the…

Multistable alignment states in nematic liquid crystal filled wells

- Physics
- 2007

Two distinct, stable alignment states have been observed for a nematic liquid crystal confined in a layer with thickness of 12μm and in square wells with sides of length between 20 and 80μm. The…

Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory

- PhysicsEuropean Journal of Applied Mathematics
- 2010

We study equilibrium liquid crystal configurations in three-dimensional geometries, within the continuum Landau-de Gennes theory. We obtain explicit bounds for the equilibrium scalar order parameters…

Disorientation-induced disordering at a nematic-liquid-crystal-solid interface.

- PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1992

To explain the observed deviation from the Rapini-Papoular surface energy of nematic liquid crystals, this model predicts a surface order decrease ΔS≃3/2 (ξ/d)S B, where ξ and d are the coherence and surface extrapolation lengths of the nematics liquid crystal and S B is the bulk order parameter.

Dynamical numerical model for nematic order reconstruction.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

A finite element method is used to implement the Q dynamics by a variational principle and it is shown that a uniaxial nematic configuration can evolve passing through transient biaXial states.